257821906080 has 384 divisors, whose sum is σ = 848292673536. Its totient is φ = 65750630400.

The previous prime is 257821906079. The next prime is 257821906099. The reversal of 257821906080 is 80609128752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 823712004 + ... + 823712316.

It is an arithmetic number, because the mean of its divisors is an integer number (2209095504).

Almost surely, 2^257821906080 is an apocalyptic number.

257821906080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257821906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424146336768).

257821906080 is an abundant number, since it is smaller than the sum of its proper divisors (590470767456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257821906080 is a wasteful number, since it uses less digits than its factorization.

257821906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 257821906080 in words is "two hundred fifty-seven billion, eight hundred twenty-one million, nine hundred six thousand, eighty".